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arXiv · 1901.09112

$ \dfrac{1}{c^2} $ Correction to Thermodynamics

Jose A. Magpantay
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Abstract

I work out the general expressions for the first relativistic correction of order $ \dfrac{1}{c^2} $ to thermodynamics. The starting point is the relativistic Hamiltonian that I derived in a previous paper, which I expanded to powers of $ \dfrac{1}{c^2} $ to derive a local (in time) Hamiltonian. Limiting to the first relativistic correction, I worked out in general how the relativistic corrections to thermodynamics arise. I then applied the formalism to the problem of N particles with harmonic oscillator interaction in 3D to see the explicit expressions for relativistic corrections.

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Jose A. Magpantay. 2019-01-25. $ \dfrac{1}{c^2} $ Correction to Thermodynamics. https://arxiv.org/abs/1901.09112

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